Topic 2 Dc Meter

TOPIC 2: DC METER

EE101(MEASUREMENT) Page 2-1

TOPIC 2

DC METER

2.1 BASIC PRINCIPLE OF ANALOG METER

A meter is any device built to accurately detect and display an electrical quantity

in a form readable by a human being. In the analysis and testing of circuits, there are

meters designed to accurately measure the basic quantities of voltage, current, and

resistance.

The action of all analogue meters (ammeters and voltmeters) depends upon a

deflecting torque produced by an electric current. In an ammeter, the torque is

produced by the current to be measured or by a definite fraction of it. In a voltmeter,

it is produced by a current that is proportional to the voltage to be measured.

Ammeters and voltmeters are essentially current measuring devices.

2.1.1 Construction Of Permanent Magnet Moving Coil (PMMC)

The PMMC instrument is the most accurate types and can be used for DC

measurement only. The action of most commonly DC meter is based on the fundamental

principle of the motor. The motor action is produced by the flow of a small current

through a moving coil which is positioned in the field of a permanent magnet.

The basic moving coil system is often called the D’Arsonval galvanometer.

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EE101(MEASUREMENT) -2

Figure 2.1: D’Arsonval Principle

2.1.2 Principle Operation Of PMMC

A coil suspended in the magnetic field of a permanent magnet in the shape of a

horse-shoe. The coil is suspended so that it can rotate freely in the magnetic field.

When current flows in the coil, the developed (electromagnetic) torque causes the coil

to rotate. The electromagnetic torque is counterbalanced by a mechanical torque of

control springs attached to the movable coil. The balance of torques, and therefore the

angular position of the movable coil is indicated by a pointer against a fixed reference

called a scale.

2.1.3 Deflection Torque

The deflection for developed torque:

Deflection Torque, = N × A × B × I

where = torque, Newton-meter (Nm)

N = number of turns of wire of the coil

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A = effective coil area, meter square (m2)

B = flux density in the air gap, Weber per meter square (Wb/m2)

I = current in the movable coil, amperes (A)

2.1.4 Damping Curve

Figure 2.2: Damping Curve

2.1.5 Damping Curve And The Relationship To Moving Coil Needle

a) Over damp

- the pointer will move slowly to final value.

- the measure value will less than expected value.

- measurement not accurate.

b) Under damp

- the pointer will oscillate in long time before it stop.

- the user difficult to read the measure value accurately.

c) Critical damp

- the pointer will stop at absolute value in short time without resonant.

- accurate and fast.

Time, s

Fix

Value

Actual

Value

Under damp

Over damp

Critical damp

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2.1.6 Compare Common Damping System In Indicating Instrument

The following methods are used to produce torque.

a. Air friction damping

The arrangement consists of a light aluminum piston which is attached to the

moving system as shown in the figure below.

Figure 2.3: Air friction damping

The piston moves in a fixed air chamber. It is closed to one end. The clearance

between piston and wall chambers is uniform and small. The piston reciprocates (move

backwards and forwards) in the chamber when there are oscillations. When piston moves

into the chamber, air inside is compressed and pressure of air developed due to friction

opposes the motion of pointer. There is also opposition (resisting) to motion of moving

system when piston moves out of the chamber. Thus the oscillations and the overshoot

gets reduced due to and fro motion of the piston in the chamber, providing necessary

damping torque. This helps in settling down the pointer to its final steady position very

quickly.

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b. Liquid damping / Fluid Friction Damping

Liquid friction damping may be used in some instruments. The method is similar to

air friction damping, only air is replaced by working fluid. The friction between the disc

and liquid is used for resisting motion. Damping force due to fluids is greater than that

of air due to more viscosity (kelikatan). The disc also called vane.

The arrangement is shown in the figure below. It consists of a vane attached to

the spindle which is completely dipped in the oil. The frictional force between oil and

the vane is used to produce the damping torque, which resists the oscillating behavior of

the pointer.

The advantages of this method are :

1. Due to more viscosity of fluid, more damping is provided.

2. The oil can also be used for insulation purposes.

3. Due to up thrust of oil, the load on the bearings is reduced, thus reducing

the frictional errors.

Figure 2.4: Liquid damping

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The disadvantages of this method are ;

1. This can be only used for the instruments which are in vertical position.

2. Due to oil leakage, the instruments cannot be kept clean.

c. Eddy current damping

In this method, an aluminium disc is connected to the spindle. The arrangement of

disc is connected to the spindle. The arrangement of disc is such that when it rotates,

its cuts the magnetic flux lines of a permanent magnet. The arrangement is shown in

the figure below.

Figure 2.5: Eddy current damping

When the pointer oscillates, aluminium disc rotates under the influence of

magnetic field of damping magnet. So disc cuts the flux which causes an induced e.m.f in

the disc. The disc is a closed path hence induced e.m.f circulates current through the

disc called eddy current. The direction of such eddy current is so as oppose the cause

producing it. The cause is relative motion between disc and field. Thus it produces an

opposing torque so as to reduce the oscillations of pointer. This brings pointer to rest

quickly. This is most effective and efficient method of damping.

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2.2 DC VOLTMETER

A dc voltmeter is using for measures the potential difference between two points

in a dc circuit or a circuit component. The basic meter movement becomes a dc

instrument measuring dc voltage by adding a multiplier resistance forming a

milivoltmeter, voltmeter or kilovoltmeter.

2.2.1 DC Voltmeter Circuit

To measure the potential difference between two points in a dc circuit or circuit

component, a dc voltmeter is always connected across them with proper polarity.

Figure 2.6 : Basic dc meter

2.2.2 Equation For Multiplier Resistor Value In Single Range

The function of the multiplier is to limit the current through the movement so

that the current does not exceed the full scale deflection value.

Im = full scale deflection current of the movement (Ifsd)

Rm= internal resistance of movement

Rs = multiplier resistance

V = full range voltage of the instrument

Rm

Im

V

Multiplier

Rs

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From the circuit,

V = Im ( Rs+ Rm )

Therefore Rs =

The multiplier limits the current through the movement, so as to not exceed the

value of the full scale deflection Ifsd.

The above equation is also used to further extend the range in DC voltmeter.

2.2.3 Calculate Multiplier Resistor Value In Single Range

Example 1 :

A basic D’Arsonval movement with a full scale deflection of 50µA and internal resistance

of 500Ω is used as a voltmeter. Determine the value of the multiplier resistance needed

to measure a voltage range of 0-10V.

Solution:

Rs = =

=( 0.2 x 106 ) – 500 = 200k -500

= 199.5kΩ

V _ Rm

Im

V _ Rm

Im

10 _ 500

50µ

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2.2.4 Equation For Multiplier Resistor Value In Two Range Dc Voltmeter

The range of the dc voltmeter can be extended by using number of multipliers

and selector switch. Such a meter called multirange voltmeter and is shown in the

figure below.

Figure 2.7: Multirange Voltmeter

The R1, R2 , R3 , R4 are the four series multipliers. When connected in series with

the meter, they can give four different voltage ranges as V1 , V2 , V3 ,V4. The selector

switch S is multiposition switch by which the required multiplier can be selected in the

circuit. Thus,

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More practical arrangement for multiplier resistance are shown in figure 2.8.

Figure 2.8 : Arrangement for multiplier resistance

In position V4, the multiplier is R4 only. The total resistance of the circuit is RT .

……………………..(1)

In the position V3, the multiplier is R3 +R4

…….…………………(2)

In the position V2, the multiplier is R2 + R3 +R4

……………………….(3)

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In the position V1, the multiplier is R1 + R2 + R3 +R4

………………………..(4)

2.2.5 Calculate Multiplier Resistor Value In Two Range Dc Voltmeter

Example 2 :

A basic D’Arsonal movement with an internal resistance 50Ω and full scale deflection

current of 2mA is to be used as a multirange voltmeter. Design the series string of

multipliers to obtain the voltage range of 0-10V, 0-50V, 0-100V, 0-500V.

Solution :

The arrangement of voltmeter as below.

Figure 2.9: Multirange voltmeter

For a meter, Rm = 50Ω and Im = 2mA

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For position V4 = 10V , series multiplier is R4

= 4.95kΩ

In the position V3=50V, series multiplier is R3 +R4

= 20kΩ

In the position V2 =100V, series multiplier is R2 + R3 +R4

= 25kΩ

In the position V1= 500V, multiplier is R1 + R2 + R3 +R4

Thus R1 , R2 , R3 , R4 forms a series string of multipliers.

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Sensitivity of Voltmeter

The sensitivity of the voltmeter is defined as,

Ω/V or kΩ/V

Internal resistance of voltmeter = Maximum voltage (range) x Sensitivity in Ω/V

Consider the practical multirange voltmeter circuit below by using sensitivity method of

calculating the multiplier resistance.

Figure 2.10: Multirange voltmeter

Let S = sensitivity rating in Ω/V

Rm = internal resistance of basic meter or coil

Then the multiplier resistance can be obtained as,

R1 = S V1- ( Rm + R2 + R3 + R4 )

R2 = S V2- ( Rm + R3 + R4 )

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R3 = S V3- ( Rm + R4 )

R4 = S V4- Rm

Where V1 , V2 , V3 and V4 are the required voltage ranges.

Example 3 :

Solve the Example 2 by using sensitivity method.

Solution :

The basic meter has Rm = 50Ω and Im = 2mA

Now = 500Ω/V

While V1 =500V, V2 =100V, V3 = 50V, V4 = 10V

R4 = S V4 - Rm

= ( 500 x 10 ) – 50 = 4.95kΩ

R3 = S V3 - ( Rm + R4 )

= ( 500 x 50 )- (50 + 4.95k) = 20kΩ

R2 = S V2 - ( Rm + R3 + R4 )

= ( 500 x 100 ) – ( 50 + 20k + 4.95k ) = 25kΩ

R1 = S V1 - ( Rm + R2 + R3 + R4 )

= ( 500 x 500 ) – ( 50 + 25k + 20k + 4.95k )= 200kΩ

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2.2.6 Accomplish Voltage Measurement In A Simple Circuit Using Two Range Dc

Voltmeter

1. The range of a voltmeter can be extended to measured high voltages, by using a

high voltage probe or by using an external multiplier resistor as shown in figure

2.11.

Figure 2.11: Extending voltage range

2. In most meters the basic movement is used on the lowest current range.

3. Values for multipliers can be determined using the procedure above.

4. The basic meter movement can be used to measure very low voltages.

2.2.7 LOADING EFFECT IN DC VOLTMETER

1. When selecting a meter for a certain voltage measurement, it is important to

consider the sensitivity of a dc voltmeter.

2. A low sensitivity meter may give an accurate reading when a measure voltage in a low

resistance circuit, but will produce inaccurate reading in high resistance circuit.

3. The voltmeter is always connected across two points between which the potential

difference is to be measured.

4. If it is connected across a low resistance then as voltmeter resistance is high, most

of the current will pass through a low resistance and produce the voltage drop, the

accurate reading will obtain.

Meter Set

to Lowest

Current

Range

External

multiplier Test

Leads

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5. But if the voltmeter is connected across the high resistance then due to two high

resistances in parallel, the device will almost divide equally through the two paths.

Thus the meter will record the voltage drop across the high resistance which will be

much lower than the true reading.

6. Thus the low sensitivity instrument when used in high resistance circuit gives a lower

reading than the true reading. This is called loading effect of the voltmeters. It is

mainly caused due to low sensitivity instruments.

2.2.8 Investigate Loading Effect In Voltage Measurement By Connecting Dc

Voltmeter To Difference Load

Example 4 :

The figure 2.12 show a simple series circuit of R1 and R2 connected to a 250V dc source.

If the voltage across R2 is to be measured by the voltmeters having

i. A sensitivity of 500 Ω/V

ii. A sensitivity of 10000 Ω/V

Find which voltmeter will read more accurately. Both the meters are used on the 150V

range.

Figure 2.12

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Solution :

By the voltage divider rule, the voltage across R2 is,

= 138.88V

This is the true voltage across R2.

Case i) S = 500Ω/V

The voltmeter resistance will be,

Rv = S x V

= 500 x 150

= 75kΩ

Req = R2 || Rv

= 18.75 kΩ

Hence, the voltage across Req is,

= 120.97 V

Thus first voltmeter will read 120.97 V.

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Case ii) S = 10000 Ω/V

The voltmeter resistance will be

Rv = S V

= 10000 x 150 as voltage range 150V

= 1.5 MΩ

Req = R2|| Rv

=

= 24.59kΩ

Hence the voltage across Req is,

V =

= 137.87 V

Thus the second voltmeter read more accurately. Thus the high sensitivity voltmeter

gives more accurate reading, though the voltage range for both the meters is same.

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2.3 DC AMMETER

2.3.1 Basic DC ammeter circuit (Single Range)

Rm = internal resistance of coil

Rsh = shunt resistance

Im = full scale deflection current

Ish = shunt current

Figure 2.13

2.3.2 Derive Equation For Shunt Resistor In Single Range DC Ammeter

From the circuit above,

I = total current

I = Im + Ish

As the two resistances Rm and Rsh are in parallel, the voltage drop across them is same.

Ish Rsh = Im Rm

Rsh =

But Ish = I- Im

Rsh =

Rsh = where m =

m is called multiplying power of shunt and defined as the ratio of total current to the

current through the coil. It can be expressed as,

m = = 1 +

Figure 2.3.1

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2.3.3 Calculate Shunt Resistor in Single Range DC Ammeter

Example 1 :

A 2mA meter with an internal resistance of 100Ω is to be converted to 0-150mA

ammeter. Calculate the value of shunt resistance required.

Solution:

Given value are,

Rm = 100Ω, Im = 2 mA, I=150mA

Rsh =

Rsh =

= 1.351Ω

2.3.4 Derive Equation For Shunt Resistor In Two Range DC Ammeter

The range of the basic dc ammeter can be extended by using number of shunts

and a selector switch. Such a meter is called multirange ammeter and is shown in the

figure 2.14.

R1, R2, R3 and R4 are four shunts and

connected in parallel with meter.

They can give four different ranges I1, I2 , I3

and I4.

Figure 2.14: Multirange ammeter

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The mathematical analysis of basic dc ammeter is equally appliacable to such

multirange ammeter. Thus,

R1 = =

R2 = =

R3 = =

R4 = =

Where are the shunt multiplying powers for the current I1 , I2 , I3 ,I4.

2.3.5 Calculate Shunt Resistor in Two Range DC Ammeter

Example 2 :

Design a multirange dc miliammeter with a basic meter having resistance 75Ω and full

scale deflection for the current of 2mA. The required ranges are 0-10mA, 0-50 mA and

0-100mA.

Solution :

The first range is 0-10mA,

I1 = 10mA

While Im = 2 mA and Rm = 75Ω

R1 = =

= 18.75Ω

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The second range is 0- 50mA,

I2 = 50mA

R1 = =

= 3.125Ω

The third range is 0- 100mA,

I3 = 100mA

R1 = =

= 1.53Ω

The designed multirange ammeter with a selector switch is shown in the figure below.

Figure 2.15

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2.4 OHMMETER

An ohmmeter is an instrument used to measure resistance and check the

continuity of electrical circuit and components. This resistance reading is indicated

through a meter movement. The ohmmeter must then have an internal source of voltage

to create the necessary current to operate the movement, and also have appropriate

ranging resistors to allow desired current to flow through the movement at any given

resistance.

Two types of schemes used to design an ohmmeter :

i. Series type – measuring relatively high values of resistances

ii. Shunt type – measuring low value of the resistances

2.4.1 Draw basic series type ohmmeter circuit

Figure shows the basic circuit of the series type ohmmeter.

Figure 2.16: Series Type Ohmmeter

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2.4.2 Explain function of current limiting resistance (series resistance), zero adjust

resistance, meter resistance and unknown resistance in series type ohmmeter.

R1 = current limiting resistor

R2 = zero adjust resistor

Rx = unknown resistor

Rm = internal resistor

E = internal battery voltage

A and B = the output terminals of the ohmmeter across an unknown resistor

When terminals A and B are shorted (short circuit), Rx = 0 (maximum current

flows in the circuit), R2 is adjusted to get full scale current through the movement. Then

I=Ifsd. The pointer will be deflected to its maximum position on the scale. Therefore the

full scale current reading is marked 0 ohms.

When terminals A and B are open (open circuit), Rx = ∞ (no current flows in the

circuit and there is no deflection of the pointer), I = 0. The pointer will read zero.

Therefore the zero current reading is marked ∞ ohms.

2.4.3 Derive equation for shunt resistor in series type ohmmeter.

Values of R1 and R2 can be determined from the value of Rx which gives half the

full scale deflection.

where Rh = half of full scale deflection resistance

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The total resistance presented to the battery equals to 2Rh and the battery

current required to supply the half-full scale deflection, Ih;

For full scale deflection, the battery current will be doubled:

The current through shunt resistance, R2 :

The voltage across shunt Vsh is equal to the voltage across the meter.

Therefore ,

Therefore

But

But

Therefore

Therefore

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2.4.4 Calculation Of Limiting Resistor In Series Type Ohmmeter

Apply equation in 2.4.3 to calculate limiting resistor:

Therefore

Hence

Therefore

Hence, R1 and R2 can be determined.

Example 1 :

Figure 2.17

In the circuit above, a 1mA meter movement with an internal of 50 Ω is to be used. The

battery voltage is 3V. Half scale deflection should be for 2500Ω.

a. Calculate the values of R1 and R2.

b. Find the change in the value of R2 if the battery voltage reduces by 10%

c. What is the half scale deflection if battery voltage reduces by 10%?

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Solution:

(a) = = 250Ω

= 2458.33Ω

(b) E = 3 - 0.3 = 2.7V

= = 625Ω

R2 should be changed from 250Ω to 625Ω to compensate for this reduction in battery

voltage.

(c) Rh = R1+ = 2458.33 + = 2504.63Ω

Half scale deflection now corresponds to 2504.63Ω instead of 2500Ω.

Example 2:

A 100Ω basic movement is to be as an ohmmeter requiring a full deflection of 1mA and

internal battery voltage of 3V. A half scale deflection marking of 2kΩ is desired.

Calculate:

i. value of R1 and R2

ii. the maximum value of R2 to compensate for a 5% drop in battery voltage.

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Solution

(i) Using the equations for R1 and R2 :

And

(ii) The internal battery voltage is 3V, therefore 5% of 3V is 0.15V. The battery

voltage with 5% drop is 3V – 0.15V = 2.85V.

2.4.5 Draw basic shunt type ohmmeter circuit.

Figure 2.18: Basic Shunt Type Ohmmeter

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2.4.6 Explain function of shunt resistance, zero adjust resistance, meter

resistance and unknown resistance in shunt type ohmmeter.

Figure 2.18 shows the basic circuit of shunt type ohmmeter where movement mechanism

is connected parallel to the unknown resistance. In this circuit it is necessary to use a

switch; otherwise current will always flow in the movement mechanism. Resistor Rsh is

used to bypass excess current.

R1 = zero adjust resistance

V = battery

Rm = meter resistance (D’Arsonval movement)

Rx = unknown resistance (connected in parallel with the meter):

In this circuit it is necessary to have ON/OFF switch to disconnect the battery from

the circuit when the instrument is not used.

Let the switch be closed;

When terminals A and B are shorted (short circuit), Rx = 0 (maximum current flows in

the circuit), the pointer reads zero because full current flows through Rx and no current

flows through the meter and Rsh. Therefore zero current reading is marked 0 ohms.

When terminals A and B are open (open circuit), Rx = ∞, no current flows through Rx and

there is no deflection of the pointer. Resistor R1is adjusted so that full scale current

flow through the meter. Therefore, maximum current reading is marked ∞ ohms.

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2.4.7 Derive equation for limiting resistor in shunt type ohmmeter.

Half scale deflection of the movement,

Voltage across movement,

Current through unknown resistance:

The total battery current,

Voltage drop across limiting resistor,

Limiting resistor:

2.4.8 Apply equation in 2.4.7 to calculate shunt resistor in shunt type ohmmeter.

Example 3:

A shunt type ohmmeter has a D’Arsonval movement of resistance 2Ω. Its full deflection

current is 10mA, and the battery voltage is 3 volts. Determine the value of current

limiting resistor so that the meter indicates 0.5Ω at the mid point of its scale.

Solution:

Battery voltage,

Meter resistance,

Full scale deflection meter current,

Half scale deflection resistance,

Half scale deflection of the movement,

Voltage across movement,

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Current through unknown resistance:

The total battery current,

Voltage drop across limiting resistor,

Limiting resistor:

Example 4 :

In the circuit of figure below, a 1mA meter movement with internal resistance of 50Ω

is to be used. The battery voltage is 3V. Half scale deflection should be for 0.5Ω.

Calculate the value of R1 and Rsh.

Figure 2.19

Solution :

For half scale def lection , Im = Ifsd/ 2 = 0.5 mA

= 0.5 x 10-3 = 45mA

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Therefore, = 0.5 x = Ω

= 2 x 0.5 x 10-3 x = 100mA

=

= 29.75Ω

We can thus see that shunt type ohmmeter can measure low values of resistance.

2.4.8 Design basic series and shunt type ohmmeter for resistance measurement.

Figure 2.20: Ohmmeter scales (a) series scale (b) shunt scale

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2.4.9 Differentiate typical scale in series and shunt type ohmmeter.

Series Ohmmeter Shunt Ohmmeter

Scale

The Series Type Ohmmeter has a zero mark

at the right side of the scale and an ∞ mark at

the left side of the scale, corresponding to

full scale deflection current.

The Shunt Type Ohmmeter has a zero

mark at the left side of the scale and an

∞ mark at the right side of the scale,

corresponding to full scale deflection

current.

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2.5 ANALOGUE MULTIMETER

A multimeter is basically a PMMC meter. A multimeter consists of an ammeter,

voltmeter and ohmmeter combined, with a function switch to connect the appropriate

circuit to the D’Arsonval movement is often called a volt-ohm-miliammeter (VOM).

2.5.1 Analogue Multimeter Consisting Of Ammeter, Voltmeter And Ohmmeter

Combination.

Figure 2.21 shows a meter consisting of a dc miliammeter, a dc voltmeter, an ac

voltmeter, a microammeter and an ohmmeter.

Figure 2.21: Diagram of Analogue Multimeter

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2.5.2 Identify Ammeter, Voltmeter And Ohmmeter Section In Analogue Multimeter

i. Microammeter

Figure 2.22: Microammeter section of a Multimeter

ii. DC Ammeter

Figure 2.23: DC Ammeter section of a Multimeter

iii. DC Voltmeter

Figure 4: DC Voltmeter section of a Multimeter

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iv. AC Voltmeter

Figure 2.25 shows an ac voltmeter section of a multimeter. Two diodes D1 and D2

are employed in this circuit, forming a full-wave rectifier with the meter so connected

that it receives only half of the rectified current. Diode D1 conducts during positive

half cycle of the input waveform and makes the meter to deflect according to the

average value of this half cycle. Across the meter, the other diode D2 serves as

protection. In the absence of diode D2, the negative half cycle of the input voltage

would apply a reverse voltage across diode D1 resulting in a small leakage current in the

reverse direction. The average value of the complete cycle would thus be lower than it

should be for half wave rectification. But when diode D2 is connected, as shown in the

figure, it conducts heavily and current bypasses the meter in reverse direction.

Figure 2.25: AC Voltmeter section of a Multimeter

v. Ohmmeter

Referring to Figure 6 which shows the ohmmeter section of a multimeter, in the 10kΩ

range the 102Ω resistance is connected in parallel with the total circuit resistance and

in the 1MΩ range the 102Ω resistance is totally disconnected from the circuit.

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Figure 2.26: Ohmmeter section of a Multimeter

Therefore, on the 1MΩ ranges the half scale deflection is 10kΩ. Since on the 10kΩ

range, the 102Ω resistance is connected across the total resistance, therefore, in this

range, the half scale deflection is 100Ω. The measurement of resistance is done by applying a

small voltage installed within the meter. For the 1 MΩ range, the internal resistance is 10kΩ,

i.e. value at midscale, as shown in Figure 7. And for the 10kΩ range, the internal resistance is

100Ω, i.e. value at mid-scale as shown in Figure 8.

Figure 2.27: Equivalent

Resistance on 1MΩ Range Figure 2.28: half Scale

Deflection is 100Ω

on 10k Range

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The range of an ohmmeter can be changed by connecting the switch to a suitable

shunt resistance. By using different values of shunt resistance, different ranges can be

obtained. By increasing the battery voltage and using a suitable shunt, the maximum

values which the ohmmeter reads can be changed.

2.5.3 Differentiate The Scale Of Ohm, Volt And Ampere In Analogue Multimeter

Typical ranges for analogue multimeters like the one illustrated:

(the voltage and current values given are the maximum reading on each range)

DC Voltage: 0.5V, 2.5V, 10V, 50V, 250V, 1000V.

AC Voltage: 10V, 50V, 250V, 1000V.

DC Current: 50µA, 2.5mA, 25mA, 250mA.

A high current range is often missing from this type of meter.

AC Current: None. (You are unlikely to need to measure this).

Resistance: 20 , 200 , 2k , 20k , 200k .

These resistance values are in the middle of the scale for each range.

2.5.4 Sensitivity Of Meter

Multimeters must have a high sensitivity of at least 20k /V otherwise their

resistance on DC voltage ranges may be too low to avoid upsetting the circuit under test

and giving an incorrect reading. To obtain valid readings the meter resistance should be

at least 10 times the circuit resistance (take this to be the highest resistor value near

where the meter is connected). You can increase the meter resistance by selecting a

higher voltage range, but this may give a reading which is too small to read accurately!

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2.5.5 State That Analogue Meter Resistance = Sensitivity × Maximum Reading Of

Range

On any DC voltage range:

Analogue Meter Resistance = Sensitivity × Max. reading of range

e.g. a meter with 20k /V sensitivity on its 10V range has a resistance of 20k /V × 10V

= 200k .

2.5.6 Determine The Step To Do Voltage, Current And Resistance Measurements

Using Multimeter

a) Measuring voltage and current with a multimeter

1. Select a range with a maximum greater than you expect the reading to be.

2. Connect the meter, making sure the leads are the correct way round.

Digital meters can be safely connected in reverse, but an analogue meter may be

damaged.

3. If the reading goes off the scale: immediately disconnect and select a higher

range.

Multimeters are easily damaged by careless use so please take these precautions:

1. Always disconnect the multimeter before adjusting the range switch.

2. Always check the setting of the range switch before you connect to a circuit.

3. Never leave a multimeter set to a current range (except when actually taking a

reading).

The greatest risk of damage is on the current ranges because the meter has a low

resistance.

TOPIC 2: DC METER


Measuring voltage at a point

Figure 2.29: Measuring voltage at a point.

1. Connect the black (negative -) lead to 0V, normally the negative terminal of the

battery or power supply.

2. Connect the red (positive +) lead to the point you where you need to measure the

voltage.

3. The black lead can be left permanently connected to 0V while you use the red

lead as a probe to measure voltages at various points.

4. You may wish to fit a crocodile clip to the black lead of your multimeter to hold it

in place while doing testing like this.

Voltage at a point really means the voltage difference between that point and 0V (zero

volts) which is normally the negative terminal of the battery or power supply. Usually 0V

will be labeled on the circuit diagram as a reminder.

Reading analogue scales

TOPIC 2: DC METER


Figure 2.30: Analogue Multimeter Scales

These can appear daunting at first but remember

that you only need to read one scale at a time!

The top scale is used when measuring resistance.

Check the setting of the range switch and choose an appropriate scale. For some

ranges you may need to multiply or divide by 10 or 100 as shown in the sample readings

below. For AC voltage ranges use the red markings because the calibration of the scale

is slightly different.

Sample readings on the scales shown:

DC 10V range: 4.4V (read 0-10 scale directly)

DC 50V range: 22V (read 0-50 scale directly)

DC 25mA range: 11mA (read 0-250 and divide by 10)

AC 10V range: 4.45V (use the red scale, reading 0-10)

If you are not familiar with reading analogue scales generally you may wish to see the

analogue display section on the general meters page.

http://www.kpsec.freeuk.com/meters.htm#analogue

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b) Measuring resistance with an ANALOGUE multimeter

The resistance scale on an analogue meter is normally at the top, it is an unusual scale

because it reads backwards and is not linear (evenly spaced). This is unfortunate, but it

is due to the way the meter works.

1. Set the meter to a suitable resistance range.

Choose a range so that the resistance you expect will be near the middle of the

scale. For example: with the scale shown below and an expected resistance of

about 50k choose the × 1k range.

2. Hold the meter probes together and adjust the control on the front of the

meter which is usually labelled "0 ADJ" until the pointer reads zero (on the

RIGHT remember!).

If you can't adjust it to read zero, the battery inside the meter needs replacing.

3. Put the probes across the component.

4. Reading analogue resistance scales

5. For resistance use the upper scale, noting that it reads backwards.

6. Check the setting of the range switch so that you know by how much to multiply

the reading.

7. Sample readings on the scales shown: × 10 range: 260

× 1k range: 26k

8. If you are not familiar with reading analogue scales generally you may wish to see

the analogue display section on the general meters page.

http://www.kpsec.freeuk.com/meters.htm#analogue

TOPIC 2: DC METER


2.5.10 Multimeter Safety Precaution

As with other meters, the incorrect use of a multimeter could cause injury or damage.

The following safety precautions for using a multimeter.

1. Reenergize and discharge the circuit completely before connecting or

disconnecting a multimeter.

2. Never apply power to the circuit while measuring resistance with a multimeter,

the voltage across the resistance may damage the meter.

3. Connect the multimeter in series with the circuit for current measurements, and

in parallel for voltage measurements.

4. Verify the circuit polarity before making test, particularly when measuring dc

current or voltages.

5. To prevent meter overloading and possible damage when checking voltage or

current, start with the highest range of the instrument and move down the range

successively.

6. For higher accuracy, the range selected should be such that the deflection falls

in the upper half on the meter scale. Select a final range that allows a reading

near the middle of the scale.

7. Take extra precaution when checking high voltages and checking current in high

voltage circuits.

8. Adjust the "0 ohms" reading after changing resistance ranges and before making

a resistance measurement.

9. Be certain the multimeter is switched to ac before attempting to measure ac

circuits.

10. Be certain to read ac measurements on the ac scale of a multimeter.

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11. When you are finished with a multimeter, switch it to the OFF position, if

available. If there is no OFF position, switch the multimeter to the highest ac

voltage position.

12. Observe the general safety precautions for electrical and electronic devices.

13. Renew ohmmeter batteries frequently to insure accuracy of the resistance scale.

14. Recalibrate the instrument at frequent intervals.

15. Protect the instrument from dust, moisture, fumes and heat.

2.5.11 Calibrate The Multimeter

a) Multimeters come with a red lead and a black lead. There will be slots on

the Multimeter. One slot will read volt/ohm, one will read (A) or amps and

the other will be the Ground (GND) slot. You will want to take the red lead

and insert it into the volt/ohm slot.

b) Take the black lead and insert it into the ground slot.

c) Turn on the Multimeter.

d) Turn or select the Ohms function on the meter.

e) Touch the leads together. The reading will change from infinite ohms to

zero. This is the reading of a properly calibrated multimeter.

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2.5.12 Use Multimeter To Measure Voltage, Current And Resistance

i. Measuring voltage

A

B

Figure A is basic circuit and Figure B is show an ammeter connection to measure

current. The circuit must be broken to allow the ammeter to be connected in series.

Ammeters must have a LOW resistance.

ii. Measuring Current

A

C

Figure A is basic circuit and Figure C is show a voltmeter connection to measure

potential difference (voltage). The circuit is not changed which the voltmeter is

connected in parallel.

Voltmeters must have a HIGH resistance.

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iii. Measuring Resistance

A

D

Figure A is basic circuit and Figure D is an ohmmeter connection to measure resistance.

The component must be removed from the circuit altogether.

Ohmmeters work by passing a current through the component being tested.

Topic 2 Dc Meter

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